SOLUTION: A bricklayer does one day of work building a wall. On the second day, he is joined by a second worker. These two workers are joined by a third worker on the third day, and they fin

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A bricklayer does one day of work building a wall. On the second day, he is joined by a second worker. These two workers are joined by a third worker on the third day, and they fin      Log On


   



Question 723891: A bricklayer does one day of work building a wall. On the second day, he is joined by a second worker. These two workers are joined by a third worker on the third day, and they finished building the wall at the end of the fourth day. If all three workers worked at the same rate, how long would it have taken all three workers to build the wall if they worked together from the start?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A bricklayer does one day of work building a wall.
On the second day, he is joined by a second worker.
These two workers are joined by a third worker on the third day, and they finished building the wall at the end of the fourth day.
If all three workers worked at the same rate, how long would it have taken all three workers to build the wall if they worked together from the start?
:
first man works 4 days, 4 man-days
second man works 3 days, 3 man-days
third man works 2 days, 2 man-days
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Total man-days for wall: 9 man-days
:
"how long would it have taken all three workers to build the wall if they worked together from the start"
9/3 = 3 days if all worked together